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231342340104 = 233289156723039
BaseRepresentation
bin1101011101110100010…
…0111111100000001000
3211010010122102112022200
43113131010333200020
512242242114340404
6254135513120200
722466610305601
oct3273504774010
9733118375280
10231342340104
118a1257a1217
1238a040b9060
1318a7a824c55
14b2a890cda8
15603ed53839
hex35dd13f808

231342340104 has 96 divisors (see below), whose sum is σ = 634023936000. Its totient is φ = 76195696896.

The previous prime is 231342340093. The next prime is 231342340109. The reversal of 231342340104 is 401043243132.

231342340104 is a `hidden beast` number, since 2 + 313 + 4 + 2 + 340 + 1 + 0 + 4 = 666.

231342340104 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (231342340109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10029817 + ... + 10052855.

It is an arithmetic number, because the mean of its divisors is an integer number (6604416000).

Almost surely, 2231342340104 is an apocalyptic number.

231342340104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231342340104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317011968000).

231342340104 is an abundant number, since it is smaller than the sum of its proper divisors (402681595896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231342340104 is a wasteful number, since it uses less digits than its factorization.

231342340104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24707 (or 24700 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 231342340104 its reverse (401043243132), we get a palindrome (632385583236).

The spelling of 231342340104 in words is "two hundred thirty-one billion, three hundred forty-two million, three hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1567 1602 2136 3134 3204 4701 6268 6408 9402 12536 14103 18804 23039 28206 37608 46078 56412 69117 92156 112824 138234 139463 184312 207351 276468 278926 414702 418389 552936 557852 829404 836778 1115704 1255167 1658808 1673556 2050471 2510334 3347112 4100942 5020668 6151413 8201884 10041336 12302826 16403768 18454239 24605652 36102113 36908478 49211304 72204226 73816956 108306339 144408452 147633912 216612678 288816904 324919017 433225356 649838034 866450712 1299676068 2599352136 3213088057 6426176114 9639264171 12852352228 19278528342 25704704456 28917792513 38557056684 57835585026 77114113368 115671170052 231342340104